What is the Greatest Common Factor of 32996 and 33005?

Greatest common factor (GCF) of 32996 and 33005 is 1.

GCF(32996,33005) = 1

We will now calculate the prime factors of 32996 and 33005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32996 and 33005.

How to find the GCF of 32996 and 33005?

We will first find the prime factorization of 32996 and 33005. After we will calculate the factors of 32996 and 33005 and find the biggest common factor number .

Step-1: Prime Factorization of 32996

Prime factors of 32996 are 2, 73, 113. Prime factorization of 32996 in exponential form is:

32996 = 2² × 73¹ × 113¹

Step-2: Prime Factorization of 33005

Prime factors of 33005 are 5, 7, 23, 41. Prime factorization of 33005 in exponential form is:

33005 = 5¹ × 7¹ × 23¹ × 41¹

Step-3: Factors of 32996

List of positive integer factors of 32996 that divides 32996 without a remainder.

1, 2, 4, 73, 113, 146, 226, 292, 452, 8249, 16498

Step-4: Factors of 33005

List of positive integer factors of 33005 that divides 32996 without a remainder.

1, 5, 7, 23, 35, 41, 115, 161, 205, 287, 805, 943, 1435, 4715, 6601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32996 and 33005. The biggest common factor number is the GCF number.
So the greatest common factor 32996 and 33005 is 1.

Also check out the Least Common Multiple of 32996 and 33005